1/* crypto/ec/ec.h */
2/*
3 * Originally written by Bodo Moeller for the OpenSSL project.
4 */
5/**
6 * \file crypto/ec/ec.h Include file for the OpenSSL EC functions
7 * \author Originally written by Bodo Moeller for the OpenSSL project
8 */
9/* ====================================================================
10 * Copyright (c) 1998-2005 The OpenSSL Project.  All rights reserved.
11 *
12 * Redistribution and use in source and binary forms, with or without
13 * modification, are permitted provided that the following conditions
14 * are met:
15 *
16 * 1. Redistributions of source code must retain the above copyright
17 *    notice, this list of conditions and the following disclaimer.
18 *
19 * 2. Redistributions in binary form must reproduce the above copyright
20 *    notice, this list of conditions and the following disclaimer in
21 *    the documentation and/or other materials provided with the
22 *    distribution.
23 *
24 * 3. All advertising materials mentioning features or use of this
25 *    software must display the following acknowledgment:
26 *    "This product includes software developed by the OpenSSL Project
27 *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
28 *
29 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
30 *    endorse or promote products derived from this software without
31 *    prior written permission. For written permission, please contact
32 *    openssl-core@openssl.org.
33 *
34 * 5. Products derived from this software may not be called "OpenSSL"
35 *    nor may "OpenSSL" appear in their names without prior written
36 *    permission of the OpenSSL Project.
37 *
38 * 6. Redistributions of any form whatsoever must retain the following
39 *    acknowledgment:
40 *    "This product includes software developed by the OpenSSL Project
41 *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
42 *
43 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
44 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
45 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
46 * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
47 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
48 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
49 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
50 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
51 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
52 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
53 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
54 * OF THE POSSIBILITY OF SUCH DAMAGE.
55 * ====================================================================
56 *
57 * This product includes cryptographic software written by Eric Young
58 * (eay@cryptsoft.com).  This product includes software written by Tim
59 * Hudson (tjh@cryptsoft.com).
60 *
61 */
62/* ====================================================================
63 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
64 *
65 * Portions of the attached software ("Contribution") are developed by
66 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
67 *
68 * The Contribution is licensed pursuant to the OpenSSL open source
69 * license provided above.
70 *
71 * The elliptic curve binary polynomial software is originally written by
72 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
73 *
74 */
75
76#ifndef HEADER_EC_H
77#define HEADER_EC_H
78
79#include <openssl/opensslconf.h>
80
81#ifdef OPENSSL_NO_EC
82#error EC is disabled.
83#endif
84
85#include <openssl/asn1.h>
86#include <openssl/symhacks.h>
87#ifndef OPENSSL_NO_DEPRECATED
88#include <openssl/bn.h>
89#endif
90
91#ifdef  __cplusplus
92extern "C" {
93#elif defined(__SUNPRO_C)
94# if __SUNPRO_C >= 0x520
95# pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
96# endif
97#endif
98
99
100#ifndef OPENSSL_ECC_MAX_FIELD_BITS
101# define OPENSSL_ECC_MAX_FIELD_BITS 661
102#endif
103
104/** Enum for the point conversion form as defined in X9.62 (ECDSA)
105 *  for the encoding of a elliptic curve point (x,y) */
106typedef enum {
107	/** the point is encoded as z||x, where the octet z specifies
108	 *  which solution of the quadratic equation y is  */
109	POINT_CONVERSION_COMPRESSED = 2,
110	/** the point is encoded as z||x||y, where z is the octet 0x02  */
111	POINT_CONVERSION_UNCOMPRESSED = 4,
112	/** the point is encoded as z||x||y, where the octet z specifies
113         *  which solution of the quadratic equation y is  */
114	POINT_CONVERSION_HYBRID = 6
115} point_conversion_form_t;
116
117
118typedef struct ec_method_st EC_METHOD;
119
120typedef struct ec_group_st
121	/*
122	 EC_METHOD *meth;
123	 -- field definition
124	 -- curve coefficients
125	 -- optional generator with associated information (order, cofactor)
126	 -- optional extra data (precomputed table for fast computation of multiples of generator)
127	 -- ASN1 stuff
128	*/
129	EC_GROUP;
130
131typedef struct ec_point_st EC_POINT;
132
133
134/********************************************************************/
135/*               EC_METHODs for curves over GF(p)                   */
136/********************************************************************/
137
138/** Returns the basic GFp ec methods which provides the basis for the
139 *  optimized methods.
140 *  \return  EC_METHOD object
141 */
142const EC_METHOD *EC_GFp_simple_method(void);
143
144/** Returns GFp methods using montgomery multiplication.
145 *  \return  EC_METHOD object
146 */
147const EC_METHOD *EC_GFp_mont_method(void);
148
149/** Returns GFp methods using optimized methods for NIST recommended curves
150 *  \return  EC_METHOD object
151 */
152const EC_METHOD *EC_GFp_nist_method(void);
153
154#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
155/** Returns 64-bit optimized methods for nistp224
156 *  \return  EC_METHOD object
157 */
158const EC_METHOD *EC_GFp_nistp224_method(void);
159
160/** Returns 64-bit optimized methods for nistp256
161 *  \return  EC_METHOD object
162 */
163const EC_METHOD *EC_GFp_nistp256_method(void);
164
165/** Returns 64-bit optimized methods for nistp521
166 *  \return  EC_METHOD object
167 */
168const EC_METHOD *EC_GFp_nistp521_method(void);
169#endif
170
171#ifndef OPENSSL_NO_EC2M
172/********************************************************************/
173/*           EC_METHOD for curves over GF(2^m)                      */
174/********************************************************************/
175
176/** Returns the basic GF2m ec method
177 *  \return  EC_METHOD object
178 */
179const EC_METHOD *EC_GF2m_simple_method(void);
180
181#endif
182
183
184/********************************************************************/
185/*                   EC_GROUP functions                             */
186/********************************************************************/
187
188/** Creates a new EC_GROUP object
189 *  \param   meth  EC_METHOD to use
190 *  \return  newly created EC_GROUP object or NULL in case of an error.
191 */
192EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
193
194/** Frees a EC_GROUP object
195 *  \param  group  EC_GROUP object to be freed.
196 */
197void EC_GROUP_free(EC_GROUP *group);
198
199/** Clears and frees a EC_GROUP object
200 *  \param  group  EC_GROUP object to be cleared and freed.
201 */
202void EC_GROUP_clear_free(EC_GROUP *group);
203
204/** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
205 *  \param  dst  destination EC_GROUP object
206 *  \param  src  source EC_GROUP object
207 *  \return 1 on success and 0 if an error occurred.
208 */
209int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
210
211/** Creates a new EC_GROUP object and copies the copies the content
212 *  form src to the newly created EC_KEY object
213 *  \param  src  source EC_GROUP object
214 *  \return newly created EC_GROUP object or NULL in case of an error.
215 */
216EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
217
218/** Returns the EC_METHOD of the EC_GROUP object.
219 *  \param  group  EC_GROUP object
220 *  \return EC_METHOD used in this EC_GROUP object.
221 */
222const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
223
224/** Returns the field type of the EC_METHOD.
225 *  \param  meth  EC_METHOD object
226 *  \return NID of the underlying field type OID.
227 */
228int EC_METHOD_get_field_type(const EC_METHOD *meth);
229
230/** Sets the generator and it's order/cofactor of a EC_GROUP object.
231 *  \param  group      EC_GROUP object
232 *  \param  generator  EC_POINT object with the generator.
233 *  \param  order      the order of the group generated by the generator.
234 *  \param  cofactor   the index of the sub-group generated by the generator
235 *                     in the group of all points on the elliptic curve.
236 *  \return 1 on success and 0 if an error occured
237 */
238int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
239
240/** Returns the generator of a EC_GROUP object.
241 *  \param  group  EC_GROUP object
242 *  \return the currently used generator (possibly NULL).
243 */
244const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
245
246/** Gets the order of a EC_GROUP
247 *  \param  group  EC_GROUP object
248 *  \param  order  BIGNUM to which the order is copied
249 *  \param  ctx    BN_CTX object (optional)
250 *  \return 1 on success and 0 if an error occured
251 */
252int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
253
254/** Gets the cofactor of a EC_GROUP
255 *  \param  group     EC_GROUP object
256 *  \param  cofactor  BIGNUM to which the cofactor is copied
257 *  \param  ctx       BN_CTX object (optional)
258 *  \return 1 on success and 0 if an error occured
259 */
260int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx);
261
262/** Sets the name of a EC_GROUP object
263 *  \param  group  EC_GROUP object
264 *  \param  nid    NID of the curve name OID
265 */
266void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
267
268/** Returns the curve name of a EC_GROUP object
269 *  \param  group  EC_GROUP object
270 *  \return NID of the curve name OID or 0 if not set.
271 */
272int EC_GROUP_get_curve_name(const EC_GROUP *group);
273
274void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
275int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
276
277void EC_GROUP_set_point_conversion_form(EC_GROUP *group, point_conversion_form_t form);
278point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
279
280unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
281size_t EC_GROUP_get_seed_len(const EC_GROUP *);
282size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
283
284/** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
285 *  \param  group  EC_GROUP object
286 *  \param  p      BIGNUM with the prime number
287 *  \param  a      BIGNUM with parameter a of the equation
288 *  \param  b      BIGNUM with parameter b of the equation
289 *  \param  ctx    BN_CTX object (optional)
290 *  \return 1 on success and 0 if an error occured
291 */
292int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
293
294/** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
295 *  \param  group  EC_GROUP object
296 *  \param  p      BIGNUM for the prime number
297 *  \param  a      BIGNUM for parameter a of the equation
298 *  \param  b      BIGNUM for parameter b of the equation
299 *  \param  ctx    BN_CTX object (optional)
300 *  \return 1 on success and 0 if an error occured
301 */
302int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
303
304#ifndef OPENSSL_NO_EC2M
305/** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
306 *  \param  group  EC_GROUP object
307 *  \param  p      BIGNUM with the polynomial defining the underlying field
308 *  \param  a      BIGNUM with parameter a of the equation
309 *  \param  b      BIGNUM with parameter b of the equation
310 *  \param  ctx    BN_CTX object (optional)
311 *  \return 1 on success and 0 if an error occured
312 */
313int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
314
315/** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
316 *  \param  group  EC_GROUP object
317 *  \param  p      BIGNUM for the polynomial defining the underlying field
318 *  \param  a      BIGNUM for parameter a of the equation
319 *  \param  b      BIGNUM for parameter b of the equation
320 *  \param  ctx    BN_CTX object (optional)
321 *  \return 1 on success and 0 if an error occured
322 */
323int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
324#endif
325/** Returns the number of bits needed to represent a field element
326 *  \param  group  EC_GROUP object
327 *  \return number of bits needed to represent a field element
328 */
329int EC_GROUP_get_degree(const EC_GROUP *group);
330
331/** Checks whether the parameter in the EC_GROUP define a valid ec group
332 *  \param  group  EC_GROUP object
333 *  \param  ctx    BN_CTX object (optional)
334 *  \return 1 if group is a valid ec group and 0 otherwise
335 */
336int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
337
338/** Checks whether the discriminant of the elliptic curve is zero or not
339 *  \param  group  EC_GROUP object
340 *  \param  ctx    BN_CTX object (optional)
341 *  \return 1 if the discriminant is not zero and 0 otherwise
342 */
343int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
344
345/** Compares two EC_GROUP objects
346 *  \param  a    first EC_GROUP object
347 *  \param  b    second EC_GROUP object
348 *  \param  ctx  BN_CTX object (optional)
349 *  \return 0 if both groups are equal and 1 otherwise
350 */
351int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
352
353/* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
354 * after choosing an appropriate EC_METHOD */
355
356/** Creates a new EC_GROUP object with the specified parameters defined
357 *  over GFp (defined by the equation y^2 = x^3 + a*x + b)
358 *  \param  p    BIGNUM with the prime number
359 *  \param  a    BIGNUM with the parameter a of the equation
360 *  \param  b    BIGNUM with the parameter b of the equation
361 *  \param  ctx  BN_CTX object (optional)
362 *  \return newly created EC_GROUP object with the specified parameters
363 */
364EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
365#ifndef OPENSSL_NO_EC2M
366/** Creates a new EC_GROUP object with the specified parameters defined
367 *  over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
368 *  \param  p    BIGNUM with the polynomial defining the underlying field
369 *  \param  a    BIGNUM with the parameter a of the equation
370 *  \param  b    BIGNUM with the parameter b of the equation
371 *  \param  ctx  BN_CTX object (optional)
372 *  \return newly created EC_GROUP object with the specified parameters
373 */
374EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
375#endif
376/** Creates a EC_GROUP object with a curve specified by a NID
377 *  \param  nid  NID of the OID of the curve name
378 *  \return newly created EC_GROUP object with specified curve or NULL
379 *          if an error occurred
380 */
381EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
382
383
384/********************************************************************/
385/*               handling of internal curves                        */
386/********************************************************************/
387
388typedef struct {
389	int nid;
390	const char *comment;
391	} EC_builtin_curve;
392
393/* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number
394 * of all available curves or zero if a error occurred.
395 * In case r ist not zero nitems EC_builtin_curve structures
396 * are filled with the data of the first nitems internal groups */
397size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
398
399
400/********************************************************************/
401/*                    EC_POINT functions                            */
402/********************************************************************/
403
404/** Creates a new EC_POINT object for the specified EC_GROUP
405 *  \param  group  EC_GROUP the underlying EC_GROUP object
406 *  \return newly created EC_POINT object or NULL if an error occurred
407 */
408EC_POINT *EC_POINT_new(const EC_GROUP *group);
409
410/** Frees a EC_POINT object
411 *  \param  point  EC_POINT object to be freed
412 */
413void EC_POINT_free(EC_POINT *point);
414
415/** Clears and frees a EC_POINT object
416 *  \param  point  EC_POINT object to be cleared and freed
417 */
418void EC_POINT_clear_free(EC_POINT *point);
419
420/** Copies EC_POINT object
421 *  \param  dst  destination EC_POINT object
422 *  \param  src  source EC_POINT object
423 *  \return 1 on success and 0 if an error occured
424 */
425int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
426
427/** Creates a new EC_POINT object and copies the content of the supplied
428 *  EC_POINT
429 *  \param  src    source EC_POINT object
430 *  \param  group  underlying the EC_GROUP object
431 *  \return newly created EC_POINT object or NULL if an error occurred
432 */
433EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
434
435/** Returns the EC_METHOD used in EC_POINT object
436 *  \param  point  EC_POINT object
437 *  \return the EC_METHOD used
438 */
439const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
440
441/** Sets a point to infinity (neutral element)
442 *  \param  group  underlying EC_GROUP object
443 *  \param  point  EC_POINT to set to infinity
444 *  \return 1 on success and 0 if an error occured
445 */
446int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
447
448/** Sets the jacobian projective coordinates of a EC_POINT over GFp
449 *  \param  group  underlying EC_GROUP object
450 *  \param  p      EC_POINT object
451 *  \param  x      BIGNUM with the x-coordinate
452 *  \param  y      BIGNUM with the y-coordinate
453 *  \param  z      BIGNUM with the z-coordinate
454 *  \param  ctx    BN_CTX object (optional)
455 *  \return 1 on success and 0 if an error occured
456 */
457int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
458	const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
459
460/** Gets the jacobian projective coordinates of a EC_POINT over GFp
461 *  \param  group  underlying EC_GROUP object
462 *  \param  p      EC_POINT object
463 *  \param  x      BIGNUM for the x-coordinate
464 *  \param  y      BIGNUM for the y-coordinate
465 *  \param  z      BIGNUM for the z-coordinate
466 *  \param  ctx    BN_CTX object (optional)
467 *  \return 1 on success and 0 if an error occured
468 */
469int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
470	const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
471
472/** Sets the affine coordinates of a EC_POINT over GFp
473 *  \param  group  underlying EC_GROUP object
474 *  \param  p      EC_POINT object
475 *  \param  x      BIGNUM with the x-coordinate
476 *  \param  y      BIGNUM with the y-coordinate
477 *  \param  ctx    BN_CTX object (optional)
478 *  \return 1 on success and 0 if an error occured
479 */
480int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
481	const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
482
483/** Gets the affine coordinates of a EC_POINT over GFp
484 *  \param  group  underlying EC_GROUP object
485 *  \param  p      EC_POINT object
486 *  \param  x      BIGNUM for the x-coordinate
487 *  \param  y      BIGNUM for the y-coordinate
488 *  \param  ctx    BN_CTX object (optional)
489 *  \return 1 on success and 0 if an error occured
490 */
491int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
492	const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
493
494/** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
495 *  \param  group  underlying EC_GROUP object
496 *  \param  p      EC_POINT object
497 *  \param  x      BIGNUM with x-coordinate
498 *  \param  y_bit  integer with the y-Bit (either 0 or 1)
499 *  \param  ctx    BN_CTX object (optional)
500 *  \return 1 on success and 0 if an error occured
501 */
502int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
503	const BIGNUM *x, int y_bit, BN_CTX *ctx);
504#ifndef OPENSSL_NO_EC2M
505/** Sets the affine coordinates of a EC_POINT over GF2m
506 *  \param  group  underlying EC_GROUP object
507 *  \param  p      EC_POINT object
508 *  \param  x      BIGNUM with the x-coordinate
509 *  \param  y      BIGNUM with the y-coordinate
510 *  \param  ctx    BN_CTX object (optional)
511 *  \return 1 on success and 0 if an error occured
512 */
513int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
514	const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
515
516/** Gets the affine coordinates of a EC_POINT over GF2m
517 *  \param  group  underlying EC_GROUP object
518 *  \param  p      EC_POINT object
519 *  \param  x      BIGNUM for the x-coordinate
520 *  \param  y      BIGNUM for the y-coordinate
521 *  \param  ctx    BN_CTX object (optional)
522 *  \return 1 on success and 0 if an error occured
523 */
524int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
525	const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
526
527/** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
528 *  \param  group  underlying EC_GROUP object
529 *  \param  p      EC_POINT object
530 *  \param  x      BIGNUM with x-coordinate
531 *  \param  y_bit  integer with the y-Bit (either 0 or 1)
532 *  \param  ctx    BN_CTX object (optional)
533 *  \return 1 on success and 0 if an error occured
534 */
535int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
536	const BIGNUM *x, int y_bit, BN_CTX *ctx);
537#endif
538/** Encodes a EC_POINT object to a octet string
539 *  \param  group  underlying EC_GROUP object
540 *  \param  p      EC_POINT object
541 *  \param  form   point conversion form
542 *  \param  buf    memory buffer for the result. If NULL the function returns
543 *                 required buffer size.
544 *  \param  len    length of the memory buffer
545 *  \param  ctx    BN_CTX object (optional)
546 *  \return the length of the encoded octet string or 0 if an error occurred
547 */
548size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
549	point_conversion_form_t form,
550        unsigned char *buf, size_t len, BN_CTX *ctx);
551
552/** Decodes a EC_POINT from a octet string
553 *  \param  group  underlying EC_GROUP object
554 *  \param  p      EC_POINT object
555 *  \param  buf    memory buffer with the encoded ec point
556 *  \param  len    length of the encoded ec point
557 *  \param  ctx    BN_CTX object (optional)
558 *  \return 1 on success and 0 if an error occured
559 */
560int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
561        const unsigned char *buf, size_t len, BN_CTX *ctx);
562
563/* other interfaces to point2oct/oct2point: */
564BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
565	point_conversion_form_t form, BIGNUM *, BN_CTX *);
566EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
567	EC_POINT *, BN_CTX *);
568char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
569	point_conversion_form_t form, BN_CTX *);
570EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
571	EC_POINT *, BN_CTX *);
572
573
574/********************************************************************/
575/*         functions for doing EC_POINT arithmetic                  */
576/********************************************************************/
577
578/** Computes the sum of two EC_POINT
579 *  \param  group  underlying EC_GROUP object
580 *  \param  r      EC_POINT object for the result (r = a + b)
581 *  \param  a      EC_POINT object with the first summand
582 *  \param  b      EC_POINT object with the second summand
583 *  \param  ctx    BN_CTX object (optional)
584 *  \return 1 on success and 0 if an error occured
585 */
586int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
587
588/** Computes the double of a EC_POINT
589 *  \param  group  underlying EC_GROUP object
590 *  \param  r      EC_POINT object for the result (r = 2 * a)
591 *  \param  a      EC_POINT object
592 *  \param  ctx    BN_CTX object (optional)
593 *  \return 1 on success and 0 if an error occured
594 */
595int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
596
597/** Computes the inverse of a EC_POINT
598 *  \param  group  underlying EC_GROUP object
599 *  \param  a      EC_POINT object to be inverted (it's used for the result as well)
600 *  \param  ctx    BN_CTX object (optional)
601 *  \return 1 on success and 0 if an error occured
602 */
603int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
604
605/** Checks whether the point is the neutral element of the group
606 *  \param  group  the underlying EC_GROUP object
607 *  \param  p      EC_POINT object
608 *  \return 1 if the point is the neutral element and 0 otherwise
609 */
610int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
611
612/** Checks whether the point is on the curve
613 *  \param  group  underlying EC_GROUP object
614 *  \param  point  EC_POINT object to check
615 *  \param  ctx    BN_CTX object (optional)
616 *  \return 1 if point if on the curve and 0 otherwise
617 */
618int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
619
620/** Compares two EC_POINTs
621 *  \param  group  underlying EC_GROUP object
622 *  \param  a      first EC_POINT object
623 *  \param  b      second EC_POINT object
624 *  \param  ctx    BN_CTX object (optional)
625 *  \return 0 if both points are equal and a value != 0 otherwise
626 */
627int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
628
629int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
630int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx);
631
632/** Computes r = generator * n sum_{i=0}^num p[i] * m[i]
633 *  \param  group  underlying EC_GROUP object
634 *  \param  r      EC_POINT object for the result
635 *  \param  n      BIGNUM with the multiplier for the group generator (optional)
636 *  \param  num    number futher summands
637 *  \param  p      array of size num of EC_POINT objects
638 *  \param  m      array of size num of BIGNUM objects
639 *  \param  ctx    BN_CTX object (optional)
640 *  \return 1 on success and 0 if an error occured
641 */
642int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, size_t num, const EC_POINT *p[], const BIGNUM *m[], BN_CTX *ctx);
643
644/** Computes r = generator * n + q * m
645 *  \param  group  underlying EC_GROUP object
646 *  \param  r      EC_POINT object for the result
647 *  \param  n      BIGNUM with the multiplier for the group generator (optional)
648 *  \param  q      EC_POINT object with the first factor of the second summand
649 *  \param  m      BIGNUM with the second factor of the second summand
650 *  \param  ctx    BN_CTX object (optional)
651 *  \return 1 on success and 0 if an error occured
652 */
653int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
654
655/** Stores multiples of generator for faster point multiplication
656 *  \param  group  EC_GROUP object
657 *  \param  ctx    BN_CTX object (optional)
658 *  \return 1 on success and 0 if an error occured
659 */
660int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
661
662/** Reports whether a precomputation has been done
663 *  \param  group  EC_GROUP object
664 *  \return 1 if a pre-computation has been done and 0 otherwise
665 */
666int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
667
668
669/********************************************************************/
670/*                       ASN1 stuff                                 */
671/********************************************************************/
672
673/* EC_GROUP_get_basis_type() returns the NID of the basis type
674 * used to represent the field elements */
675int EC_GROUP_get_basis_type(const EC_GROUP *);
676#ifndef OPENSSL_NO_EC2M
677int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
678int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
679	unsigned int *k2, unsigned int *k3);
680#endif
681
682#define OPENSSL_EC_NAMED_CURVE	0x001
683
684typedef struct ecpk_parameters_st ECPKPARAMETERS;
685
686EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
687int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
688
689#define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
690#define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
691#define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
692                (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
693#define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
694		(unsigned char *)(x))
695
696#ifndef OPENSSL_NO_BIO
697int     ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
698#endif
699#ifndef OPENSSL_NO_FP_API
700int     ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
701#endif
702
703
704/********************************************************************/
705/*                      EC_KEY functions                            */
706/********************************************************************/
707
708typedef struct ec_key_st EC_KEY;
709
710/* some values for the encoding_flag */
711#define EC_PKEY_NO_PARAMETERS	0x001
712#define EC_PKEY_NO_PUBKEY	0x002
713
714/* some values for the flags field */
715#define EC_FLAG_NON_FIPS_ALLOW	0x1
716#define EC_FLAG_FIPS_CHECKED	0x2
717
718/** Creates a new EC_KEY object.
719 *  \return EC_KEY object or NULL if an error occurred.
720 */
721EC_KEY *EC_KEY_new(void);
722
723int EC_KEY_get_flags(const EC_KEY *key);
724
725void EC_KEY_set_flags(EC_KEY *key, int flags);
726
727void EC_KEY_clear_flags(EC_KEY *key, int flags);
728
729/** Creates a new EC_KEY object using a named curve as underlying
730 *  EC_GROUP object.
731 *  \param  nid  NID of the named curve.
732 *  \return EC_KEY object or NULL if an error occurred.
733 */
734EC_KEY *EC_KEY_new_by_curve_name(int nid);
735
736/** Frees a EC_KEY object.
737 *  \param  key  EC_KEY object to be freed.
738 */
739void EC_KEY_free(EC_KEY *key);
740
741/** Copies a EC_KEY object.
742 *  \param  dst  destination EC_KEY object
743 *  \param  src  src EC_KEY object
744 *  \return dst or NULL if an error occurred.
745 */
746EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
747
748/** Creates a new EC_KEY object and copies the content from src to it.
749 *  \param  src  the source EC_KEY object
750 *  \return newly created EC_KEY object or NULL if an error occurred.
751 */
752EC_KEY *EC_KEY_dup(const EC_KEY *src);
753
754/** Increases the internal reference count of a EC_KEY object.
755 *  \param  key  EC_KEY object
756 *  \return 1 on success and 0 if an error occurred.
757 */
758int EC_KEY_up_ref(EC_KEY *key);
759
760/** Returns the EC_GROUP object of a EC_KEY object
761 *  \param  key  EC_KEY object
762 *  \return the EC_GROUP object (possibly NULL).
763 */
764const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
765
766/** Sets the EC_GROUP of a EC_KEY object.
767 *  \param  key    EC_KEY object
768 *  \param  group  EC_GROUP to use in the EC_KEY object (note: the EC_KEY
769 *                 object will use an own copy of the EC_GROUP).
770 *  \return 1 on success and 0 if an error occurred.
771 */
772int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
773
774/** Returns the private key of a EC_KEY object.
775 *  \param  key  EC_KEY object
776 *  \return a BIGNUM with the private key (possibly NULL).
777 */
778const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
779
780/** Sets the private key of a EC_KEY object.
781 *  \param  key  EC_KEY object
782 *  \param  prv  BIGNUM with the private key (note: the EC_KEY object
783 *               will use an own copy of the BIGNUM).
784 *  \return 1 on success and 0 if an error occurred.
785 */
786int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
787
788/** Returns the public key of a EC_KEY object.
789 *  \param  key  the EC_KEY object
790 *  \return a EC_POINT object with the public key (possibly NULL)
791 */
792const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
793
794/** Sets the public key of a EC_KEY object.
795 *  \param  key  EC_KEY object
796 *  \param  pub  EC_POINT object with the public key (note: the EC_KEY object
797 *               will use an own copy of the EC_POINT object).
798 *  \return 1 on success and 0 if an error occurred.
799 */
800int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
801
802unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
803void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags);
804point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
805void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
806/* functions to set/get method specific data  */
807void *EC_KEY_get_key_method_data(EC_KEY *key,
808	void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
809/** Sets the key method data of an EC_KEY object, if none has yet been set.
810 *  \param  key              EC_KEY object
811 *  \param  data             opaque data to install.
812 *  \param  dup_func         a function that duplicates |data|.
813 *  \param  free_func        a function that frees |data|.
814 *  \param  clear_free_func  a function that wipes and frees |data|.
815 *  \return the previously set data pointer, or NULL if |data| was inserted.
816 */
817void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data,
818	void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
819/* wrapper functions for the underlying EC_GROUP object */
820void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
821
822/** Creates a table of pre-computed multiples of the generator to
823 *  accelerate further EC_KEY operations.
824 *  \param  key  EC_KEY object
825 *  \param  ctx  BN_CTX object (optional)
826 *  \return 1 on success and 0 if an error occurred.
827 */
828int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
829
830/** Creates a new ec private (and optional a new public) key.
831 *  \param  key  EC_KEY object
832 *  \return 1 on success and 0 if an error occurred.
833 */
834int EC_KEY_generate_key(EC_KEY *key);
835
836/** Verifies that a private and/or public key is valid.
837 *  \param  key  the EC_KEY object
838 *  \return 1 on success and 0 otherwise.
839 */
840int EC_KEY_check_key(const EC_KEY *key);
841
842/** Sets a public key from affine coordindates performing
843 *  neccessary NIST PKV tests.
844 *  \param  key  the EC_KEY object
845 *  \param  x    public key x coordinate
846 *  \param  y    public key y coordinate
847 *  \return 1 on success and 0 otherwise.
848 */
849int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, BIGNUM *y);
850
851
852/********************************************************************/
853/*        de- and encoding functions for SEC1 ECPrivateKey          */
854/********************************************************************/
855
856/** Decodes a private key from a memory buffer.
857 *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
858 *  \param  in   pointer to memory with the DER encoded private key
859 *  \param  len  length of the DER encoded private key
860 *  \return the decoded private key or NULL if an error occurred.
861 */
862EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
863
864/** Encodes a private key object and stores the result in a buffer.
865 *  \param  key  the EC_KEY object to encode
866 *  \param  out  the buffer for the result (if NULL the function returns number
867 *               of bytes needed).
868 *  \return 1 on success and 0 if an error occurred.
869 */
870int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
871
872
873/********************************************************************/
874/*        de- and encoding functions for EC parameters              */
875/********************************************************************/
876
877/** Decodes ec parameter from a memory buffer.
878 *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
879 *  \param  in   pointer to memory with the DER encoded ec parameters
880 *  \param  len  length of the DER encoded ec parameters
881 *  \return a EC_KEY object with the decoded parameters or NULL if an error
882 *          occurred.
883 */
884EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
885
886/** Encodes ec parameter and stores the result in a buffer.
887 *  \param  key  the EC_KEY object with ec paramters to encode
888 *  \param  out  the buffer for the result (if NULL the function returns number
889 *               of bytes needed).
890 *  \return 1 on success and 0 if an error occurred.
891 */
892int i2d_ECParameters(EC_KEY *key, unsigned char **out);
893
894
895/********************************************************************/
896/*         de- and encoding functions for EC public key             */
897/*         (octet string, not DER -- hence 'o2i' and 'i2o')         */
898/********************************************************************/
899
900/** Decodes a ec public key from a octet string.
901 *  \param  key  a pointer to a EC_KEY object which should be used
902 *  \param  in   memory buffer with the encoded public key
903 *  \param  len  length of the encoded public key
904 *  \return EC_KEY object with decoded public key or NULL if an error
905 *          occurred.
906 */
907EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
908
909/** Encodes a ec public key in an octet string.
910 *  \param  key  the EC_KEY object with the public key
911 *  \param  out  the buffer for the result (if NULL the function returns number
912 *               of bytes needed).
913 *  \return 1 on success and 0 if an error occurred
914 */
915int i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
916
917#ifndef OPENSSL_NO_BIO
918/** Prints out the ec parameters on human readable form.
919 *  \param  bp   BIO object to which the information is printed
920 *  \param  key  EC_KEY object
921 *  \return 1 on success and 0 if an error occurred
922 */
923int	ECParameters_print(BIO *bp, const EC_KEY *key);
924
925/** Prints out the contents of a EC_KEY object
926 *  \param  bp   BIO object to which the information is printed
927 *  \param  key  EC_KEY object
928 *  \param  off  line offset
929 *  \return 1 on success and 0 if an error occurred
930 */
931int	EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
932
933#endif
934#ifndef OPENSSL_NO_FP_API
935/** Prints out the ec parameters on human readable form.
936 *  \param  fp   file descriptor to which the information is printed
937 *  \param  key  EC_KEY object
938 *  \return 1 on success and 0 if an error occurred
939 */
940int	ECParameters_print_fp(FILE *fp, const EC_KEY *key);
941
942/** Prints out the contents of a EC_KEY object
943 *  \param  fp   file descriptor to which the information is printed
944 *  \param  key  EC_KEY object
945 *  \param  off  line offset
946 *  \return 1 on success and 0 if an error occurred
947 */
948int	EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
949
950#endif
951
952#define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
953
954#ifndef __cplusplus
955#if defined(__SUNPRO_C)
956#  if __SUNPRO_C >= 0x520
957# pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
958#  endif
959# endif
960#endif
961
962#define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
963	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \
964				EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
965
966
967#define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID		(EVP_PKEY_ALG_CTRL + 1)
968
969/* BEGIN ERROR CODES */
970/* The following lines are auto generated by the script mkerr.pl. Any changes
971 * made after this point may be overwritten when the script is next run.
972 */
973void ERR_load_EC_strings(void);
974
975/* Error codes for the EC functions. */
976
977/* Function codes. */
978#define EC_F_BN_TO_FELEM				 224
979#define EC_F_COMPUTE_WNAF				 143
980#define EC_F_D2I_ECPARAMETERS				 144
981#define EC_F_D2I_ECPKPARAMETERS				 145
982#define EC_F_D2I_ECPRIVATEKEY				 146
983#define EC_F_DO_EC_KEY_PRINT				 221
984#define EC_F_ECKEY_PARAM2TYPE				 223
985#define EC_F_ECKEY_PARAM_DECODE				 212
986#define EC_F_ECKEY_PRIV_DECODE				 213
987#define EC_F_ECKEY_PRIV_ENCODE				 214
988#define EC_F_ECKEY_PUB_DECODE				 215
989#define EC_F_ECKEY_PUB_ENCODE				 216
990#define EC_F_ECKEY_TYPE2PARAM				 220
991#define EC_F_ECPARAMETERS_PRINT				 147
992#define EC_F_ECPARAMETERS_PRINT_FP			 148
993#define EC_F_ECPKPARAMETERS_PRINT			 149
994#define EC_F_ECPKPARAMETERS_PRINT_FP			 150
995#define EC_F_ECP_NIST_MOD_192				 203
996#define EC_F_ECP_NIST_MOD_224				 204
997#define EC_F_ECP_NIST_MOD_256				 205
998#define EC_F_ECP_NIST_MOD_521				 206
999#define EC_F_EC_ASN1_GROUP2CURVE			 153
1000#define EC_F_EC_ASN1_GROUP2FIELDID			 154
1001#define EC_F_EC_ASN1_GROUP2PARAMETERS			 155
1002#define EC_F_EC_ASN1_GROUP2PKPARAMETERS			 156
1003#define EC_F_EC_ASN1_PARAMETERS2GROUP			 157
1004#define EC_F_EC_ASN1_PKPARAMETERS2GROUP			 158
1005#define EC_F_EC_EX_DATA_SET_DATA			 211
1006#define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY		 208
1007#define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT	 159
1008#define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE		 195
1009#define EC_F_EC_GF2M_SIMPLE_OCT2POINT			 160
1010#define EC_F_EC_GF2M_SIMPLE_POINT2OCT			 161
1011#define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1012#define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1013#define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES	 164
1014#define EC_F_EC_GFP_MONT_FIELD_DECODE			 133
1015#define EC_F_EC_GFP_MONT_FIELD_ENCODE			 134
1016#define EC_F_EC_GFP_MONT_FIELD_MUL			 131
1017#define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE		 209
1018#define EC_F_EC_GFP_MONT_FIELD_SQR			 132
1019#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE		 189
1020#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP		 135
1021#define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE		 225
1022#define EC_F_EC_GFP_NISTP224_POINTS_MUL			 228
1023#define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1024#define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE		 230
1025#define EC_F_EC_GFP_NISTP256_POINTS_MUL			 231
1026#define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1027#define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE		 233
1028#define EC_F_EC_GFP_NISTP521_POINTS_MUL			 234
1029#define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1030#define EC_F_EC_GFP_NIST_FIELD_MUL			 200
1031#define EC_F_EC_GFP_NIST_FIELD_SQR			 201
1032#define EC_F_EC_GFP_NIST_GROUP_SET_CURVE		 202
1033#define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT	 165
1034#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE		 166
1035#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP		 100
1036#define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR		 101
1037#define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE			 102
1038#define EC_F_EC_GFP_SIMPLE_OCT2POINT			 103
1039#define EC_F_EC_GFP_SIMPLE_POINT2OCT			 104
1040#define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE		 137
1041#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES	 167
1042#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1043#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES	 168
1044#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1045#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES	 169
1046#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1047#define EC_F_EC_GROUP_CHECK				 170
1048#define EC_F_EC_GROUP_CHECK_DISCRIMINANT		 171
1049#define EC_F_EC_GROUP_COPY				 106
1050#define EC_F_EC_GROUP_GET0_GENERATOR			 139
1051#define EC_F_EC_GROUP_GET_COFACTOR			 140
1052#define EC_F_EC_GROUP_GET_CURVE_GF2M			 172
1053#define EC_F_EC_GROUP_GET_CURVE_GFP			 130
1054#define EC_F_EC_GROUP_GET_DEGREE			 173
1055#define EC_F_EC_GROUP_GET_ORDER				 141
1056#define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS		 193
1057#define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS		 194
1058#define EC_F_EC_GROUP_NEW				 108
1059#define EC_F_EC_GROUP_NEW_BY_CURVE_NAME			 174
1060#define EC_F_EC_GROUP_NEW_FROM_DATA			 175
1061#define EC_F_EC_GROUP_PRECOMPUTE_MULT			 142
1062#define EC_F_EC_GROUP_SET_CURVE_GF2M			 176
1063#define EC_F_EC_GROUP_SET_CURVE_GFP			 109
1064#define EC_F_EC_GROUP_SET_EXTRA_DATA			 110
1065#define EC_F_EC_GROUP_SET_GENERATOR			 111
1066#define EC_F_EC_KEY_CHECK_KEY				 177
1067#define EC_F_EC_KEY_COPY				 178
1068#define EC_F_EC_KEY_GENERATE_KEY			 179
1069#define EC_F_EC_KEY_NEW					 182
1070#define EC_F_EC_KEY_PRINT				 180
1071#define EC_F_EC_KEY_PRINT_FP				 181
1072#define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES	 229
1073#define EC_F_EC_POINTS_MAKE_AFFINE			 136
1074#define EC_F_EC_POINT_ADD				 112
1075#define EC_F_EC_POINT_CMP				 113
1076#define EC_F_EC_POINT_COPY				 114
1077#define EC_F_EC_POINT_DBL				 115
1078#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M	 183
1079#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP	 116
1080#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP	 117
1081#define EC_F_EC_POINT_INVERT				 210
1082#define EC_F_EC_POINT_IS_AT_INFINITY			 118
1083#define EC_F_EC_POINT_IS_ON_CURVE			 119
1084#define EC_F_EC_POINT_MAKE_AFFINE			 120
1085#define EC_F_EC_POINT_MUL				 184
1086#define EC_F_EC_POINT_NEW				 121
1087#define EC_F_EC_POINT_OCT2POINT				 122
1088#define EC_F_EC_POINT_POINT2OCT				 123
1089#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M	 185
1090#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP	 124
1091#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M	 186
1092#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP	 125
1093#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP	 126
1094#define EC_F_EC_POINT_SET_TO_INFINITY			 127
1095#define EC_F_EC_PRE_COMP_DUP				 207
1096#define EC_F_EC_PRE_COMP_NEW				 196
1097#define EC_F_EC_WNAF_MUL				 187
1098#define EC_F_EC_WNAF_PRECOMPUTE_MULT			 188
1099#define EC_F_I2D_ECPARAMETERS				 190
1100#define EC_F_I2D_ECPKPARAMETERS				 191
1101#define EC_F_I2D_ECPRIVATEKEY				 192
1102#define EC_F_I2O_ECPUBLICKEY				 151
1103#define EC_F_NISTP224_PRE_COMP_NEW			 227
1104#define EC_F_NISTP256_PRE_COMP_NEW			 236
1105#define EC_F_NISTP521_PRE_COMP_NEW			 237
1106#define EC_F_O2I_ECPUBLICKEY				 152
1107#define EC_F_OLD_EC_PRIV_DECODE				 222
1108#define EC_F_PKEY_EC_CTRL				 197
1109#define EC_F_PKEY_EC_CTRL_STR				 198
1110#define EC_F_PKEY_EC_DERIVE				 217
1111#define EC_F_PKEY_EC_KEYGEN				 199
1112#define EC_F_PKEY_EC_PARAMGEN				 219
1113#define EC_F_PKEY_EC_SIGN				 218
1114
1115/* Reason codes. */
1116#define EC_R_ASN1_ERROR					 115
1117#define EC_R_ASN1_UNKNOWN_FIELD				 116
1118#define EC_R_BIGNUM_OUT_OF_RANGE			 144
1119#define EC_R_BUFFER_TOO_SMALL				 100
1120#define EC_R_COORDINATES_OUT_OF_RANGE			 146
1121#define EC_R_D2I_ECPKPARAMETERS_FAILURE			 117
1122#define EC_R_DECODE_ERROR				 142
1123#define EC_R_DISCRIMINANT_IS_ZERO			 118
1124#define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE		 119
1125#define EC_R_FIELD_TOO_LARGE				 143
1126#define EC_R_GF2M_NOT_SUPPORTED				 147
1127#define EC_R_GROUP2PKPARAMETERS_FAILURE			 120
1128#define EC_R_I2D_ECPKPARAMETERS_FAILURE			 121
1129#define EC_R_INCOMPATIBLE_OBJECTS			 101
1130#define EC_R_INVALID_ARGUMENT				 112
1131#define EC_R_INVALID_COMPRESSED_POINT			 110
1132#define EC_R_INVALID_COMPRESSION_BIT			 109
1133#define EC_R_INVALID_CURVE				 141
1134#define EC_R_INVALID_DIGEST_TYPE			 138
1135#define EC_R_INVALID_ENCODING				 102
1136#define EC_R_INVALID_FIELD				 103
1137#define EC_R_INVALID_FORM				 104
1138#define EC_R_INVALID_GROUP_ORDER			 122
1139#define EC_R_INVALID_PENTANOMIAL_BASIS			 132
1140#define EC_R_INVALID_PRIVATE_KEY			 123
1141#define EC_R_INVALID_TRINOMIAL_BASIS			 137
1142#define EC_R_KEYS_NOT_SET				 140
1143#define EC_R_MISSING_PARAMETERS				 124
1144#define EC_R_MISSING_PRIVATE_KEY			 125
1145#define EC_R_NOT_A_NIST_PRIME				 135
1146#define EC_R_NOT_A_SUPPORTED_NIST_PRIME			 136
1147#define EC_R_NOT_IMPLEMENTED				 126
1148#define EC_R_NOT_INITIALIZED				 111
1149#define EC_R_NO_FIELD_MOD				 133
1150#define EC_R_NO_PARAMETERS_SET				 139
1151#define EC_R_PASSED_NULL_PARAMETER			 134
1152#define EC_R_PKPARAMETERS2GROUP_FAILURE			 127
1153#define EC_R_POINT_AT_INFINITY				 106
1154#define EC_R_POINT_IS_NOT_ON_CURVE			 107
1155#define EC_R_SLOT_FULL					 108
1156#define EC_R_UNDEFINED_GENERATOR			 113
1157#define EC_R_UNDEFINED_ORDER				 128
1158#define EC_R_UNKNOWN_GROUP				 129
1159#define EC_R_UNKNOWN_ORDER				 114
1160#define EC_R_UNSUPPORTED_FIELD				 131
1161#define EC_R_WRONG_CURVE_PARAMETERS			 145
1162#define EC_R_WRONG_ORDER				 130
1163
1164#ifdef  __cplusplus
1165}
1166#endif
1167#endif
1168